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Symmetric identities in graded algebras
- Source :
- Archiv der Mathematik. 69:461-464
- Publication Year :
- 1997
- Publisher :
- Springer Science and Business Media LLC, 1997.
-
Abstract
- Let P k be the symmetric polynomial of degree k i.e., the full linearization of the polynomial x k . Let G be a cancellation semigroup with 1 and R a G-graded ring with finite support of order n. We prove that if R 1 satisfies $ P_k \equiv 0 $ then R satisfies $ P_{kn} \equiv 0 $ .
Details
- ISSN :
- 14208938 and 0003889X
- Volume :
- 69
- Database :
- OpenAIRE
- Journal :
- Archiv der Mathematik
- Accession number :
- edsair.doi...........8fc651e82a406b3513fdbc677aed5f76